ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

Empty set is

• Not subset of every set A
• Finite set B
• Infinite set C
• Not the member of real numbers D

The set of the first elements of the ordered pairs forming a relation is called its

• Function on B A
• Range B
• Domain C
• A into B D

If a set S contains "n" elements then P (S) has ...... number of elements

• 2ⁿ A
• 2²ⁿ B
• 2 . n C
• n² D

If a 1-1 correspondence can be established b/w two sets A and B, then they are called

• Equal sets A
• Equivalent sets B
• Over lapping sets C
• None of these D

The set of natural numbers is a subset of

• {1, 2, 3, .... 100} A
• The set of whole numbers B
• {2, 4, 6, 8, .....} C
• None of these D

For a set A, A∪Ac= ---------------------

• A A
• ∅ B
• Ac C
• U D

• 
  A
• 
  B
• 
  C
• 
  D

If x = 1/x for x ∈ R then the value of x is

• ±1 A
• 0 B
• 2 C
• 4 D

Z is a group under

• Subtraction A
• Multiplication B
• Addition C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

Power set of difference set N-W is

• Empty set A
• Infinite set B
• Singleton set C
• {0,∅} D

Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

• -a A
• a + 1 B
• -2 -a C
• None of these D

If p and q are two statements then their conjunction is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is

• -a A
• a +1 B
• -1-a C
• None of these D

The set {{a,b}} is

• Infinite set A
• Singleton set B
• Two points set C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

Φset is the ______ of all sets?

• Subset A
• Union B
• Universal C
• Intersection D

A function whose range is just one elements is called

• One-one function A
• Constant function B
• Onto function C
• Identity function D

The identity elements with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

The statement that a group can have more than one identity elements is

• True A
• False B
• Fallacious C
• Some times true D

If A and B are two sets then intersection of A and B is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

A conditional is regarded as false only when the antecedent is true and consequent is

• True A
• False B
• Known C
• Unknown D

If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =

• 1 A
• 12 B
• 5 C
• 29 D

In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages.

• 45 A
• 30 B
• 25 C
• 50 D

• Addition A
• Subtraction B
• Multiplication C
• None of these D

The set which has no proper subset is

• {0} A
• {} B
• {∅} C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

What is the number of elements of the power set of { }

• 0 A
• 1 B
• 2 C
• 3 D

A statement which is either true or false is called

• Induction A
• Deduction B
• Propositicon C
• Logic D